4. B modeling#

4.1. Characteristics of modeling#

The mesh and the data are identical to modeling A; the only difference comes from behavior META_P_IL_PT (taking into account transformation plasticity)

4.2. Tested sizes and results#

Identification

Reference

Test

Tolerance

\({\epsilon }_{\mathit{zz}}^{p}\) \(t=47s\)

0

ANALYTIQUE

0.1%

\(\chi\) \(t=47s\)

0

ANALYTIQUE

0.1%

\({\sigma }_{\mathit{zz}}\) \(t=47s\)

282.106

ANALYTIQUE

0.1%

\({\epsilon }_{\mathit{zz}}\) \(t=47s\)

-4.125 10—3

ANALYTIQUE

0.1%

\({\epsilon }_{\mathit{zz}}^{\mathit{th}}\) \(t=47s\)

-0.0055225

ANALYTIQUE

0.1%

\({\epsilon }_{\mathit{zz}}^{\mathit{meca}}\) \(t=47s\)

0.00141

ANALYTIQUE

0.1%

\({\epsilon }_{\mathit{zz}}^{\mathit{plas}}\) \(t=47s\)

0

ANALYTIQUE

0.1%

\({\epsilon }_{\mathit{zz}}^{p}\) \(t=48s\)

3.2653 10—3

ANALYTIQUE

1.1%

\(\chi\) \(t=48s\)

1

ANALYTIQUE

0.1%

\({\sigma }_{\mathit{zz}}\) \(t=48s\)

288.106

ANALYTIQUE

0.1%

\({\epsilon }_{\mathit{zz}}\) \(t=48s\)

-9.3469 10—4

ANALYTIQUE

0.1%

\({\epsilon }_{\mathit{zz}}^{\mathit{th}}\) \(t\mathrm{=}48s\)

-0.00564

ANALYTIQUE

0.1%

\({\epsilon }_{\mathit{zz}}^{\mathit{meca}}\) \(t\mathrm{=}48s\)

0.004705

ANALYTIQUE

0.1%

\({\epsilon }_{\mathit{zz}}^{\mathit{plas}}\) \(t\mathrm{=}48s\)

0.0032653

ANALYTIQUE

0.1%

\({\epsilon }_{\mathit{zz}}^{p}\) \(t=60s\)

0.04

ANALYTIQUE

0.1%

\({\epsilon }_{\mathit{zz}}^{p}\) \(t=64s\)

0.04

ANALYTIQUE

0.1%

\(\chi\) \(t=64s\)

0

ANALYTIQUE

0.1%

\({\sigma }_{\mathit{zz}}\) \(t=64s\)

360.106

ANALYTIQUE

0.1%

\({\epsilon }_{\mathit{zz}}\) \(t=64s\)

4.00085 10—2

ANALYTIQUE

0.2%

\({\epsilon }_{\mathit{zz}}^{\mathit{th}}\) \(t\mathrm{=}64s\)

-0.007117

ANALYTIQUE

0.2%

\({\epsilon }_{\mathit{zz}}^{\mathit{meca}}\) \(t\mathrm{=}64s\)

0.047125

ANALYTIQUE

0.1%

\({\epsilon }_{\mathit{zz}}^{\mathit{plas}}\) \(t\mathrm{=}64s\)

0.04533

ANALYTIQUE

0.1%

\({\epsilon }_{\mathit{zz}}^{p}\) \(t=114s\)

0.041071

ANALYTIQUE

0.1%

\(\chi\) \(t=114s\)

1

ANALYTIQUE

0.1%

\({\sigma }_{\mathit{zz}}\) \(t=114s\)

360.106

ANALYTIQUE

0.1%

\({\epsilon }_{\mathit{zz}}\) \(t=114s\)

0.072841

ANALYTIQUE

2.0%

\({\epsilon }_{\mathit{zz}}^{\mathit{th}}\) \(t\mathrm{=}114s\)

-0.00603

ANALYTIQUE

0.1%

\({\epsilon }_{\mathit{zz}}^{\mathit{meca}}\) \(t\mathrm{=}114s\)

0.07887

ANALYTIQUE

2.0%

\({\epsilon }_{\mathit{zz}}^{\mathit{plas}}\) \(t=114s\)

0.07707

ANALYTIQUE

2.0%

\({\epsilon }_{\mathit{zz}}^{p}\) \(t=176s\)

0.062069

ANALYTIQUE

0.1%

4.3. notes#

In this modeling, the term due to transformation plasticity is taken into account:

\({\dot{\epsilon }}^{\mathit{pt}}(T,Z)\ne 0\) when \(\dot{Z}\mathrm{\ne }0\)